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Top-down synthesis of simple divide and conquer algorithms


Published November 1982
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"NPS-52-82-011."

"November 1982."

Cover title

Includes bibliographic references (p. 98-99)

"Prepared for: Chief of Naval Research; Arlington, VA 22217."

Technical report; 1982

A new method is presented for the deductive synthesis of computer programs. The method takes as given a formal specification of a user's problem. The specification is allowed to be incomplete in that some or all of the input conditions may be omitted. A completed specification plus a computer program are produced by the method. Synthesis involves the top-down decomposition of the user's problem into a hierarchy of subproblems. Solving each of these subproblems results in the synthesis of a hierarchically structured program. The program is guaranteed to satisfy the completed specification and to terminate on all legal inputs. In this paper we present a framework for a top-down synthesis process, explore the structure of a class of divide and conquer algorithms, and present a method for the top-down synthesis of algorithms in this class. Detailed derivations of four sorting algorithms are presented. (Author)


Publisher Monterey, California : Naval Postgraduate School
Pages 108
Language en_US
Call number ocm81456374
Digitizing sponsor Naval Postgraduate School, Dudley Knox Library
Book contributor Naval Postgraduate School, Dudley Knox Library
Collection navalpostgraduateschoollibrary; fedlink; americana
Notes some content may be lost due to the binding of the book.

Full catalog record MARCXML

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